Fourier series for a square wave – HP 48gII User Manual
Page 517
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Page 16-39
The resulting graph is shown below for k = 5 (the number of elements in the 
series is 2k+1, i.e., 11, in this case): 
 
From the plot it is very difficult to distinguish the original function from the 
Fourier series approximation. Using k = 2, or 5 terms in the series, shows not 
so good a fitting: 
 
The Fourier series can be used to generate a periodic triangular wave (or saw 
tooth wave) by changing the horizontal axis range, for example, from –2 to 4. 
The graph shown below uses k = 5: 
 
Fourier series for a square wave
A square wave can be generated by using the function 
 
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